Atkin-Lehner |
2+ 3- 5+ 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130n |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6488064 |
Modular degree for the optimal curve |
Δ |
-1.2393224829665E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6457545,-6537649779] |
[a1,a2,a3,a4,a6] |
Generators |
[2144738841:83745023892:571787] |
Generators of the group modulo torsion |
j |
-40850609950133742917521/1700030840832000000 |
j-invariant |
L |
4.0623098395835 |
L(r)(E,1)/r! |
Ω |
0.047238464308839 |
Real period |
R |
10.749475825466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710bh1 |
Quadratic twists by: -3 |